Rarefaction

About: Rarefaction is a research topic. Over the lifetime, 1852 publications have been published within this topic receiving 26943 citations.

Centered rarefaction wave with a liquid-gas phase transition in the approximation of “phase-flip” hydrodynamics

Abstract: It is proposed to evaluate the effects of thermodynamic metastability on fluid dynamics by comparing two different ideal-hydrodynamics solutions—one obtained with the fully equilibrium equation of state using the Maxwell construction and the other in what we call the phase-flip approximation. The latter is based on the assumption of instantaneous decay of metastable states upon reaching the spinodal. The proposed method is applied to the classical problem of the centered rarefaction wave by expansion into a vacuum, for which exact analytical solutions exist in both approximations. It is shown that the rapid decay of metastable states leads to the formation of a rarefaction shock in the expanding flow. Implications for the laser-heating experiments are discussed.

Stability of planar rarefaction wave to the 3D bipolar Vlasov–Poisson–Boltzmann system

Abstract: We investigate the time-asymptotic stability of planar rarefaction wave for the 3D bipolar Vlasov–Poisson Boltzmann (VPB) system, based on the micro–macro decompositions introduced in [T. P. Liu an...

Convergence to strong nonlinear rarefaction waves for global smooth solutions of $p-$system with relaxation

Abstract: This paper is concerned with the large time behavior of global smooth solutions to the Cauchy problem of the p-system with relaxation. Former results in this direction indicate that such a problem possesses a global smooth solution provided that the first derivative of the solutions with respect to the space variable x are sufficiently small. Under the same small assumption on the global smooth solution, we show that it converges to the corresponding nonlinear rarefaction wave and in our analysis, we do not ask the rarefaction wave to be weak and the initial error can also be chosen arbitrarily large.

Temperature / rarefaction effects in hypersonic boundary-layer flow with an oblique roughness element

Abstract: Three-dimensional laminar hypersonic boundary-layer flows are investigated applying the compressible bi-global linear stability theory (B-LST) in flow crossplanes. The flat-plate flow is altered by an obliquely placed discrete fence-like roughness element that is about half the boundary-layer thickness high. Roughness setup and flow conditions resemble the STS-119 flight experiment. A cold-flow case and hot-flow cases are considered. The influence of non-perfect gas properties such as variable chemical composition, or thermal energy relaxation are included. The steady base flows are extracted from Navier-Stokes simulations. The underlying gas modell for reacting and non-reacting air accounts for thermal as well as chemical nonequilibrium. Rarefaction effects are considered in terms of a slip condition for velocity and temperature at the wall. Stability properties of the roughness wake under cold, hot, and hot rarefied flow conditions are compared in terms of local and integral growth.